The graph below represents the total shipping cost of x items for four different companies.

Shipping Charges
A graph has number of items on the x-axis and shipping cost in dollars on the y-axis. Line W goes through points (0, 5) and (2, 13). Line U goes through (0, 12) and (3, 16). Line Y goes through (0, 10) and (2, 12). Line Z goes through (0, 0) and (2, 4).

Which list places the companies in order from the steepest slope to the least steep slope?

The correct answer is option D. We can be 95% confident that the sample proportion is captured by the confidence interval.

The margin of error of plus or minus three percentage points at a 95% confidence level means that the true proportion of people who jog regularly in the population is estimated to be between 15% and 21%. We can be 95% confident that the true proportion of people who jog regularly falls within this interval.

Therefore, option B is correct. Option A is incorrect because it implies that the margin of error always holds true for any sample size, which is not the case. Option C is incorrect because it presents a range of values for the population, not for the estimate. Option E is incorrect because it refers to the proportion of samples that would find the same sample proportion, not the range of values within which the true proportion lies.

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Answer:

Step-by-step explanation:

Answer:

C  ( 9 , 15)

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

Given m is parallel to N:

The sum of given agles is equal to 180 since they are supplementary

8x - 7 + x + 16 = 180 add like terms

9x + 9 = 180 subtract 9 from both sides

9x = 171 divide both sides by 9

x = 19

The prevalence rate per 100,000 is 99.8%

We know that the prevalence rate is the proportion of persons in a population who have a particular disease over a specified period of time.

In this question, we have been given a data on breast cancer for the past year:

number of new cases: 1,774;

number of total cases: 4,192;

population: 5,977,906

We need to find the prevalence rate per 100,000

The total number of infected people = 1,774 + 4192

                                                             = 5966

Chance of infection in the whole population would be,

5,977,906/ 5966 ≈ 1002

This means, chances of having breast cancer is 1 in every 1002 people.

A prevalence rate is calculated by dividing total number of infected people by the total population. The result is then multiplied by 100,000

Now we calculate the prevalence rate per 100,000

= (5966 / 5,977,906) × 100,000

= 0.000998 × 100,000

= 99.8 %

Therefore, the prevalence rate per 100,000 is 99.8%

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Given the sequence:

Let's find the third term of the sequence.

To find the third term, a3, we have:

First find the second term, a2:

The second term is -5.

To find the third term, we have:

Therefore, the third term of the

the measures of the angles are:

Angle GDE = 69.2856 degrees

Angle EDH = 67.7142 degrees

Angle CDF = 43 degrees

To solve this problem, we can start by using the given information to set up an equation.

We know that angle CDE is a straight angle, which means it measures 180 degrees. Additionally, angle DEH bisects angle GDH, which means angles GDE and EDH are equal.

Let's denote the measure of angle GDE as A and the measure of angle EDH as A.

Given:

Angle GDE = 8x - 1

Angle EDH = 6x + 15

Angle CDF = 43

Since angle CDE is a straight angle, we have the equation:

Angle GDE + Angle EDH + Angle CDF = 180

Substituting the given values into the equation, we get:

(8x - 1) + (6x + 15) + 43 = 180

Combine like terms:

14x + 57 = 180

Subtract 57 from both sides:

14x = 123

Divide by 14:

x = 8.7857

Now, we can substitute this value of x back into the given angles to find their measures:

Angle GDE = 8x - 1

= 8(8.7857) - 1

= 70.2856 - 1

= 69.2856

Angle EDH = 6x + 15

= 6(8.7857) + 15

= 52.7142 + 15

= 67.7142

Angle CDF = 43

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Answer:

it does not, it equals 18

Step-by-step explanation:

9+9=18 - true

9+9=6 - false

The correct statement describing step 3 is:

C. Adjust the width of the compass to BQ, and draw an arc from point X such that it intersects the arc drawn from N in a point Y.

Correct option is C.

In the given construction,

step 1 involves drawing an arc from point Q to intersect the sides PQ and QR at points A and B, respectively.

Step 2 involves drawing a segment NT and using the same width of the compass to draw an arc from point N to intersect the segment NT at point X.

To continue the construction and construct an angle MNT congruent to angle PQR,

step 3 requires adjusting the width of the compass to BQ. This means the compass should be set to the distance between points B and Q. Then, from point X, an arc is drawn that intersects the arc drawn from N at a point Y.

By completing this step, the construction creates an angle MNT that is congruent to the given angle PQR.

Correct option is C.

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Answer:

The ratio of the length opposite to the side of the triangle whose angle is opposite to the length of the hyptoneuse.

Answer:

Min is 51 and max is 75 and the the mediem is 63 and the q1 is 54 and q2 is 55 and 57 and q3 is 65 and 69

Step-by-step explanation:

the least is 51 and the most is 75 and the mean is 63 if u list them in order and than u find the quartiles that are between the median and 51 and q3 is between the median and the max.

Answer: one outta a mil

Step-by-step explanation:

First, we want to note two things:

We can describe this with an inequality:  x ≥ -10
Be sure you use ≥ and not >, since -10 is included.

We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.

You can also use set-builder notation: { x | x ≥ -10 }

Answer: Increases by 360

Step-by-step explanation:

The number in hundreds place is 1 and tens place is 5. If you interchange these numbers, you place 1 in the tens place and 5 in the hundreds place.

So, it would be 54,510.

The number is increases since the hundreds value is more now.

54,510 - 54,150 = 360

Increases by 360

From the graph given the constant of proportionality which is the intercept of the graph is 0.

In the slope - intercept equation , y = bx + C, the constant of proportionality is denoted as C which is also the intercept value of the graph.

The constant of proportionality doesn't change in an equation. For the graph attached , the point where the fitted line crosses the y-axis is the intercept which is 0.

Hence, the constant of proportionality is 0.

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Answer

When simplified, the answer is

Explanation

[2/x² - 5x + 6] - [5/x - 2​]

To solve this, we need to first factorize x² - 5x + 6

x² - 5x + 6

= x² - 3x - 2x + 6

= x (x - 3) - 2 (x - 3)

= (x - 3) (x - 2)

So, we can rewrite the question, and then take an LCM

We will then take the LCM

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Answer:

False 15 times 7= 105

Answer: 11 units

Step-by-step explanation:

Use the distance formula: \(\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }\)

\((x_{1}, y_{1})=(-5, 6)\\(x_{2}, y_{2})=(6, 6)\\\\\sqrt{(6-(-5)^{2}+(6-6)^{2}} =\sqrt{(11)^{2}+(0)^{2}} =\sqrt{121+0}=\sqrt{121}=11\)

The length of the line is 11 units.

The distance between two points is the length of the line joining the two points.

Formula: distance= √(x_2-x_1)²+(y_2-y_1)²

Given that, endpoints are (-5,6) and (6,6) of the line segment.

The length= √(6+5)²-(6-6)²

                  =11 units

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The height of the 10th bounce of the ball will be 0.6 feet.

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.

The nth term of the geometric sequence is given by

\(\sf T_n=ar^{n-1}\)

Where,

According to the given question.

During the first bounce, height of the ball from the ground, a = 4.5 feet

And, the each successive bounce is 73% of the previous bounce's height.

So,

During the second bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 10\)

\(=\dfrac{73}{100}(10)\)

\(\sf = 0.73 \times 10\)

\(\sf = 7.3 \ feet\)

During the third bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 7.3\)

\(=\dfrac{73}{100}(7.3)\)

\(\sf = 5.33 \ feet\)

Like this we will obtain a geometric sequence 7.3, 5.33, 3.11, 2.23,...

And the common ratio of the geometric sequence is 0.73

Therefore,

The sixth term of the geometric sequence is given by

\(\sf T_{10}=10(0.73)^{10-1\)

\(\sf T_{10}=10(0.73)^{9\)

\(\sf T_{10}=10(0.059)\)

\(\sf T_{10}=0.59\thickapprox0.6 \ feet\)

Hence, the height of the 10th bounce of the ball will be 0.6 feet.

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Answer:

B. 1/2

Step-by-step explanation:

Make 9 an improper fraction, then multiply by -5/6.

-5/6 times 9/1 = -45/6.

-45/6 cannot be simplified, so you make it a mixed number.

-7 1/2.

Add the 7 to -7 1/2 and that cancels out to 1/2

a. (2/3) ÷ (1/4) = 8/3

   √(27) ÷ √(3) = 3

b.   (4.5) × (4) = 18

   (3.6) ÷ (0.6) = 6

c.    (√2) × (√8) = 4√2

   (π) ÷ (e) = a irrational number but multiplied by an integer such as 2π/e would yield a rational number.

d.    (3+4i) × (3-4i) = 25

   log(-8) + log(2) = log(16) (using complex logarithms)

a. The first example, (2/3) ÷ (1/4) = 8/3, is an example where the inputs are not positive integers, but the result is a positive integer. This is because when we divide two fractions, we actually multiply the first fraction by the reciprocal of the second fraction. So, (2/3) ÷ (1/4) is the same as (2/3) × (4/1) = 8/3, which is a positive integer.

Therefore, For the second example, √(27) ÷ √(3) = 3, we can simplify the square root of 27 as √(3 × 9) = √3 × √9 = 3√3. Similarly, we can simplify the square root of 3 as √(3 × 1) = √3 × √1 = √3. Then, we can divide √(27) by √(3) to get 3√3 ÷ √3 = 3, which is a positive integer.

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The  graph shows a function and its is the graph in option A.

The original path is reflected on the line y = x. The two functions are said to be inverses of one another if the graphs of both functions are symmetric with respect to the line y = x. This is due to the fact that (y, x) lies on the inverse function of the function if (x, y) lies on the original function.

The inverse function is shown on a graph with the use of a vertical line test. The line has a slope and travels through the origin.

Instance is the  f(x) = 2x + 5 = y. Then, is the inverse of \(g(y) = \frac{ (y-5)}{2} = x\) f(x).Reflecting over the y and x gives us the function of the inverse.

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To evaluate the integral using Wallis's Formula, we need to find the integral of cos^7(x) from 0 to π/2. Wallis's Formula is given by:

∫(0 to π/2) cos^n(x) dx = (n-1)/n * (n-3)/(n-2) * ... * (1 or 2)/(n+1 or n) * (π/2)
For our problem, we have n = 7, so we'll apply the formula as follows:
∫(0 to π/2) cos^7(x) dx = (7-1)/7 * (7-3)/(7-2) * 1/8 * (π/2) = 6/7 * 4/5 * 1/8 * (π/2)

Now, let's simplify the expression: = 24/35 * π/4 = 6π/35
So, the value of the integral is 6π/35.
To evaluate this, we use the definition of the Beta function: B(a,b) = Gamma(a) * Gamma(b) / Gamma(a+b).
where Gamma is the Gamma function. So, we have: B(4,1/2) = Gamma(4) * Gamma(1/2) / Gamma(9/2).

Using the fact that Gamma(1/2) = sqrt(pi), we can simplify: B(4,1/2) = 3 * sqrt(pi) / 16, Finally, we substitute this back into the original expression: Integral from 0 to pi/2 of (cos(x))^7 dx = (1/2) * B(4, 1/2) = 3 * sqrt(pi) / 32, So the value of the integral is 3 * sqrt(pi) / 32.

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Answer:

y=-1/6x-13/3

Step-by-step explanation:

first we find the slope

y1-y2/x1-x2

-3+5/-8+4

1/-6

now we find y intersept

-3=-1/6(-8)+b

-3=8/6+b

-13/3=b

you plug it in y = mx+b

y=-1/6x-13/3

Answer:

Step-by-step explanation:

1. C(10)=35  is the percentage of homes using only cell phone service 10 years after 2004, that is, after 2014.

2. C(x) = 10  is the percentage of homes using only cell phone service x years after 2004.  We must find x.

3. how is C(10) different from C(x) = 10?

In C(10), 10 measures time in years and is the independent variable here; C10) is the dependent variable.  See (2), above.  In C(x), x is the (unknown) independent variable, whereas 10 is the output vaue, the dependent variable.

Answer:

C

Step-by-step explanation:

2·π·6·10+2·π·6^2

Answer:

602.88 in^2

Step-by-step explanation:

A=2πrh+2πr^2

A=2(3.14)(6)(10)+2(3.14)(6^2)

A=376.8+226.08

A=602.88

The probability of obtaining a sample mean between 4.1 and 4.11 in a random sample of size 511 is 0.

To calculate the probability that a random sample of size 511, selected with replacement, will yield a sample mean between 4.1 and 4.11 in a discrete uniform population with x = 2.4, we can use the properties of the sample mean and the given population.

In a discrete uniform population, all values are equally likely. Since the mean of the population is x = 2.4, it implies that each value in the population is 2.4.

The sample mean is calculated by summing all selected values and dividing by the sample size. In this case, the sample size is 511.

To find the probability, we need to calculate the cumulative distribution function (CDF) for the sample mean falling between 4.1 and 4.11.

Let's denote X as the value of each individual in the population. Since X is uniformly distributed, P(X = 2.4) = 1.

The sample mean, denoted as M, is given by M = (X1 + X2 + ... + X511) / 511.

To find the probability P(4.1 < M < 4.11), we need to calculate P(M < 4.11) - P(M < 4.1).

P(M < 4.11) = P((X1 + X2 + ... + X511) / 511 < 4.11)
           = P(X1 + X2 + ... + X511 < 4.11 * 511)

Similarly,
P(M < 4.1) = P(X1 + X2 + ... + X511 < 4.1 * 511)

Since each value of X is 2.4, we can rewrite the probabilities as:

P(M < 4.11) = P((2.4 + 2.4 + ... + 2.4) < 4.11 * 511)
           = P(2.4 * 511 < 4.11 * 511)

Similarly,
P(M < 4.1) = P(2.4 * 511 < 4.1 * 511)

Now, we can calculate the probabilities:

P(M < 4.11) = P(1224.4 < 2099.71) = 1 (since 1224.4 < 2099.71)
P(M < 4.1) = P(1224.4 < 2104.1) = 1 (since 1224.4 < 2104.1)

Finally, we can calculate the probability of the sample mean falling between 4.1 and 4.11:

P(4.1 < M < 4.11) = P(M < 4.11) - P(M < 4.1)
                 = 1 - 1
                 = 0

Therefore, the probability that a random sample of size 511, selected with replacement, will yield a sample mean between 4.1 and 4.11 in the given discrete uniform population is 0.

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